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Finding the Fourth Proportional to 10,706.32, 16,055.49 and 3,684.37

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Solution

The fourth proportional to 10,706.32, 16,055.49 and 3,684.37 is: 5,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.32 : 16,055.49 = 3,684.37 : x
  2. Step 2: Convert to fraction form
    10,706.32/16,055.49 = 3,684.37/x
  3. Step 3: Cross multiply
    10,706.32x = 16,055.49 × 3,684.37
  4. Step 4: Simplify right side
    10,706.32x = 59,154,365.69
  5. Step 5: Solve for x
    x = 59,154,365.69/10,706.32
  6. Step 6: Final answer
    x = 5,525.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.